“The wolf will live with the lamb,
the leopard will lie down with the goat,
the calf and the lion and the yearling together;
and a little child will lead them”
It means not only will humans not being killing or hurting animals but also that animals will not be killing or hurting each other. This is the way things were in Eden back when humans exercised dominion over the earth (Genesis 1:28). But ever since humans began following their own will instead of God’s will, we’ve not only corrupted ourselves and our own children but we’ve also corrupted the earth and the animals (Genesis 6:5). We teach animals to hunt; we breed them to be meat, milk, and egg machines, and we cause them to live in fear (Habakkuk 2:17, Genesis 9:2). We ignore their well-being and treat them as mere property to serve the corrupt desires of our own flesh. We basically do everything other than the instructions we were given by God to do – that is, to rule over them by the spirit of love (Galatians 5:22-23).
I would recommend first restoring your own heart to God’s way of love before worrying about our responsibility of leading the animals in God’s way of love. If I can’t even convince you that God wants us to live our lives in harmony with animals, then how am I supposed to convince you to fulfill your role of leading animals to live in harmony with other animals? Even a child could do it, but first there must be love in your heart and faith in God’s instructions (Matthew 18:3).
Swords to Plowshares 